Finding the Third Proportional to 109,186 and 238,340

Step by Step Solution

1. Step 1: Write the proportion equation
   109,186 : 238,340 = 238,340 : x
2. Step 2: Convert to fraction form
   109,186/238,340 = 238,340/x
3. Step 3: Cross multiply
   109,186x = 238,340 × 238,340
4. Step 4: Simplify right side
   109,186x = 56,805,955,600
5. Step 5: Solve for x
   x = 56,805,955,600/109,186
6. Step 6: Final answer
   x = 520,267.76